Find the radius of a circle in which the length of the tangent is 4 cm and the distance of the point from which the tangent is drawn to the circle from the centre is 5 cm
Answers
Answered by
9
Answer:
Given: OA=5 cm and AB=4 cm
ΔAOB is right angle triangle, right angle at B
By using Pythagoras Theorem, we have
OB
2
+AB
2
=OA
2
OB is the radius of triangle
OB
2
+16=25
⟹OB
2
=25−16
⟹OB
2
=9
⟹OB=
9
=3cm
Radius of circle is 3 cm
Answered by
7
Answer:
3cm
Step-by-step explanation:
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